Unconditional nonlinear stability in a polarized dielectric liquid (Q1357132)
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scientific article; zbMATH DE number 1022386
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unconditional nonlinear stability in a polarized dielectric liquid |
scientific article; zbMATH DE number 1022386 |
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Unconditional nonlinear stability in a polarized dielectric liquid (English)
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16 June 1997
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Summary: We derive a sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current. The initial energy at which we establish global nonlinear stability is not restricted, and the boundary for Rayleigh-Roberts numbers coincides with that found by a formal linear instability analysis.
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generalized energy
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thermal convection
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alternating current
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boundary for Rayleigh-Roberts numbers
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